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Lori tosses a ball into the air. The equation y = –16(x – 1)^2 + 25 models the height, y, in feet, of the ball after x seconds. What is the maximum height the ball reaches?
1 ft
9 ft
16 ft
25 ft

Sagot :

Answer:

25 ft

Step-by-step explanation:

Got it right on EDG2020

The ball will reach the maximum height in a second. Then the maximum height the ball reaches will be 25 ft.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

Lori tosses a ball into the air. The equation models the height, y, in feet, of the ball after x seconds.

[tex]\rm y = -16(x - 1)^2 + 25[/tex]

Differentiate the equation with respect to x, then we have

[tex]\begin{aligned} y' &= 0\\\\\dfrac{d}{dx}[-16(x - 1)^2 + 25] &= 0\\\\ -32(x-1) &= 0\\\\x &= 1 \end{aligned}[/tex]

Then the maximum height the ball reaches will be

[tex]\rm y = -16(1 - 1)^2 + 25\\\\y = -16*0^2 + 25\\\\y = 25[/tex]

Then the maximum height the ball reaches will be 25 ft.

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ2

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